1. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190
inclusive?
(A)
(B)
(C)
(D)
(E)
90
95
100
105
110
Rating: 2
Two ways to do this, one is where we add up all the numbers and divide it by 19 to
get 100 or two, we use the arithmetic series formula to find the sum then divide by
19.. The formula is 𝑆 =
(𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑒𝑟𝑚𝑠)(𝑡ℎ𝑒 𝑓𝑖𝑟𝑠𝑡 𝑛𝑢𝑚𝑏𝑒𝑟+𝑡ℎ𝑒 𝑙𝑎𝑠𝑡 𝑛𝑢𝑚𝑏𝑒𝑟)
2
. Since we
are going to divide by the number of terms to find the average, the answer is just the
sum of the first and last number divided by 2.
The answer is C.
2.
The table shows the results of a poll which asked drivers how many accidents they
had had over the previous 5 years. What is the median number of accidents per
driver?
(A)
(B)
(C)
(D)
(E)
0.5
1
1.5
2
4
Rating: 1
There are 60 drivers total so the median is the average between the 30th and 31st
driver. The 30th driver had 1 accident and the 31st driver has 2, so the average is 1.5.
The answer is C
3
# of
0
1
2
children
27
# of
13
24
36
families
Data were collected on the number of children per family in a certain village as
shown above.
3. The average (mean) number of children per family in the village is approximately
(A)
(B)
(C)
(D)
(E)
2.4
2.0
1.8
1.5
1.0
Rating: 1
(13x0) + (24x1) + (36x2) + (27x3) = 177
13+24+36+27=100
177/100 = 17.7
The answer is C
4. Refer to the table provided in the previous question.
The difference between the median and the mode of the number of children per
family is
(A)
(B)
(C)
(D)
(E)
2.5
2.0
1.5
1.0
0
Rating: 1
The median is the average of the 50th and 51st place family which is 2. The mode is
also 2.
The answer is E.
5.
The bar graph above shows the number of employees at Company X for each of the
years from 1996 through 2000. Over which of the following periods was the average
rate of increase in the number of employees at the Company X greatest?
(A)
(B)
(C)
(D)
𝐹𝑟𝑜𝑚 1996 𝑡ℎ𝑟𝑜𝑢𝑔ℎ 1998
𝐹𝑟𝑜𝑚 1996 𝑡ℎ𝑟𝑜𝑢𝑔ℎ 1999
𝐹𝑟𝑜𝑚 1997 𝑡ℎ𝑟𝑜𝑢𝑔ℎ 1999
𝐹𝑟𝑜𝑚 1998 𝑡ℎ𝑟𝑜𝑢𝑔ℎ 1999
(E) 𝐹𝑟𝑜𝑚 1998 𝑡ℎ𝑟𝑜𝑢𝑔ℎ 2000
Rating: 1
The greatest increase is seen between 1996 and 1999 however, the average rate of
increase is divided by 4 years. The increase between 1998 and 1999 isn’t as large
but the average is found by dividing by 2 so it’s average is greater.
The average is D.
The amount that a plumber charges for a service call that is h hours long is shown in
the graph above. The charges for a service call consist of an initial amount plus a
charge for each hour of work. According to the graph, what is the hourly charge?
(A)
(B)
(C)
(D)
(E)
$25.00
$37.00
$400.00
$50.00
$75.00
Rating: 1
The units on the vertical axis are set in $50 intervals. The charge from one hour to
the next is exactly one unit away thus the charge is $50.
The answer is D.
6. n is an integer chosen at random from the set
{5, 7, 9, 11}
p is chosen at random from the set
{2, 6, 10, 14, 18}
What is the probability that n + p = 23?
(A)
(B)
(C)
(D)
(E)
0.1
0.2
0.25
0.3
0.4
Rating: 3
There are 20 possible combinations for n+p. The ones that sum up to 23 are (5,18)
and (9,14). 2 combinations out of 20 makes 2/10 = 1/10 = 0.1.
The answer is A.
7.
The scatterplot above shows the area, in square miles, versus the population, in
thousands, for six states. How many of these states have a population under
10,000,000 and an area over 40,000 square miles?
(A)
(B)
(C)
(D)
(E)
𝑂𝑛𝑒
𝑇𝑤𝑜
𝑇ℎ𝑟𝑒𝑒
𝐹𝑜𝑢𝑟
𝐹𝑖𝑣𝑒
Rating: 1
We must look at the area that is below 10,000 on the vertical axis which represents
10,000,000 populations, and to the right of 40,000 on the horizontal axis. There
exist two states that fulfill these conditions.
The answer is B.
8. What is the average of four tenths and five thousandths?
(A)
(B)
(C)
(D)
25002
2502
0.225
0.2025
(E) 0.02025
Rating: 2
Four tenths is 0.4 and five thousandths is 0.005.
The answer is D.
9.
The scatterplot above shows the enrollment in 1980 against the enrollment in 2000
for twenty colleges. Which of the labeled points represents the college that had the
smallest percent increase in enrollment from 1980 to 2000?
(A)
(B)
(C)
(D)
(E)
𝐴
𝐵
𝐶
𝐷
𝐸
Rating: 1
To find the smallest percent increase, we must look at the distance between points
on the graph. The smallest distances are A to B and D to E however D to E is a
decrease.
The answer is B.
10.
At the cross street convenience store between 11 am to 1 pm on Friday, a total of n
items were purchased. The graph above shows the distribution of the number of
items purchased in each of the five categories. In terms of n, how many more
sandwiches then pastries were purchased?
(A)
(B)
(C)
(D)
(E)
10𝑛
20𝑛
𝑛/5
𝑛/10
𝑛/20
Rating: 1
Since a total of n items were purchased, the number of sandwiches is 30% of the
total which is 30n and likewise for pastries, it’s 10n. The difference is 20n.
The answer is B.
11. The average bonus per employee was
(A)
(B)
(C)
(D)
(E)
81
91
100
101
105
Rating: 1
(7x50)+(37x100)+(4x150)+(2x200)=5050
7+37+4+2=50
Average = 5050/50 = 101
The answer is D.
12. Refer to the chart from the previous question.
If median bonus amount = m, mean bonus amount = n, and mode bonus amount =
p, which of the following represents the correct ordering of m, n and p?
(A)
(B)
(C)
(D)
(E)
𝑚<𝑛<𝑝
𝑚<𝑛=𝑝
𝑚=𝑝<𝑛
𝑝<𝑚<𝑛
𝑝=𝑛<𝑚
Rating: 3
The median is the average between the 25th and 26th place which is 100. We know
from the previous question, the mean is 101. The mode is 100.
The answer is C.